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3 years ago

Solve 8y(y−2)+8=0 by using the Quadratic Formula.

Mathematics

1 answer:

klio [65]3 years ago

8 0

Answer:

x=1

Step-by-step explanation:

First, we must simplify it to standard form:

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I need help with #2 help if u can

olga2289 [7]

Answer:

Step-by-step explanation:

8 0

3 years ago

Lucy has 4 more than 1/3 the number of pairs of socks as her sister. Lucy has at most 9 pairs of socks. How many pairs of socks

Volgvan

Answer: at most 15 pairs of socks

Step-by-step explanation:

Let the number of pair of socks of her sister be $x$ , and let the number of pairs Lucy has be $y$ .

Since , Lucy has 4 more than 1/3 the number of pairs of socks as her sister, this means that

$\frac{1}{3}x + 4 = y$ .............................. equation 1

Also , Lucy has at most 9 pairs of socks , this means that

$y\leq 9$ ....................................... equation 2

Equating the two equations , we have

$\frac{1}{3}x + 4 \leq 9$

multiply through by 3

$x + 12\leq 27$

subtract 12 from both sides

$x\leq 15$

Therefore , the sister has at most 15 pairs of socks

4 0

3 years ago

A man ordered 4 times as many boxes of ballpoint pens as boxes of felt-tip pens. Ballpoint pens cost $4.41 per box, and felt-tip

natka813 [3]

Answer:

Step-by-step explanation:

Let x = # of boxes of felt-tip pens.

(x)(3.44)+(4x)(4.41) = 63.24

21.08x = 63.24

x = 3

Because x = 3, the man bought 3 boxes of felt-tip pens and 12 boxes of ballpoint pens.

6 0

2 years ago

The circumference of a circular garden is 138.16 feet. What is the radius of the garden? Use 3.14 for it and do not round your a

kobusy [5.1K]

Answer:

11 feet

Step-by-step explanation:

6 0

3 years ago

Mathematics 13 don’t understand

UNO [17]

Answer:

1/6^3

Step-by-step explanation:

The applicable rules of exponents are ...

a^-b = 1/a^b

(a^b)(a^c) = a^(b+c)

Your expression can be simplified as follows:

$\dfrac{6^{-5}}{6^{-2}}=\dfrac{1}{(6^{-2})(6^5)}=\dfrac{1}{6^{-2+5}}=\boxed{\dfrac{1}{6^3}}$

_____

<em>Additional comment</em>

If you think of an exponent as signifying repeated multiplication, the rules of exponents may be easier to remember. The exponent tells you how many times the base is a factor in the product.

Consider multiplication:

$(x\cdot x\cdot x)\cdot(x\cdot x)=x^3\cdot x^2=x^{3+2}=x^5\\\\(x\cdot x\cdot x)\cdot(x\cdot x\cdot x)=(x^3)^2=x^{3\cdot2}=x^6$

Consider division:

$\dfrac{x\cdot x\cdot x}{x\cdot x}=x\quad\Longleftrightarrow\quad\dfrac{x^3}{x^2}=x^{3-2}=x^1\\\\\dfrac{x\cdot x}{x\cdot x\cdot x}=\dfrac{1}{x}\quad\Longleftrightarrow\quad\dfrac{x^2}{x^3}=x^{2-3}=x^{-1}$

This may help you see that a positive exponent in the denominator is equivalent to a negative exponent in the numerator (and vice versa).

6 0

3 years ago